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Concrete Operators

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On the truncated operator trigonometric moment problem

Sergey Zagorodnyuk
  • Corresponding author
  • School of Mathematics and Mechanics, V.N. Karazin Kharkiv National University, Svobody Square, 4, 61022 Kharkiv, Ukraine
  • Other articles by this author:
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Published Online: 2015-07-08 | DOI: https://doi.org/10.1515/conop-2015-0002


In this paper we study the truncated operator trigonometric moment problem. All solutions of the moment problem are described by a Nevanlinna-type parameterization. In the case of moments acting in a separable Hilbert space, the matrices of the operator coefficients in the Nevanlinna-type formula are calculated by the prescribed moments. Conditions for the determinacy of the moment problem are given, as well.

Keywords : moment problem; generalized resolvent; isometric operator


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About the article

Received: 2015-02-04

Accepted: 2015-06-01

Published Online: 2015-07-08

Citation Information: Concrete Operators, Volume 2, Issue 1, ISSN (Online) 2299-3282, DOI: https://doi.org/10.1515/conop-2015-0002.

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© 2015 Sergey Zagorodnyuk. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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